Small squarisquariapeirogonal tiling
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Small squarisquariapeirogonal tiling | |
---|---|
Rank | 3 |
Type | Uniform |
Space | Euclidean |
Notation | |
Bowers style acronym | Sossa |
Coxeter diagram | x4/3x4o∞*a () |
Elements | |
Faces | MN squares, MN octagrams, 4N apeirogons |
Edges | 4MN+4MN |
Vertices | 4MN |
Vertex figure | Isosceles trapezoid, edge lengths √2, √2-√2, 2, √2-√2 |
Measures (edge length 1) | |
Vertex density | |
Related polytopes | |
Army | Tosquat |
Regiment | Sossa |
Conjugate | Great squarisquariapeirogonal tiling |
Abstract & topological properties | |
Flag count | 32MN |
Properties | |
Symmetry | R3 |
Convex | No |
Nature | Tame |
The small squarisquariapeirogonal tiling, or sossa, is a non-convex uniform tiling of the Euclidean plane. 1 square, 1 apeirogon, and 2 octagrams join at each vertex of this tiling. It can also be represented as x4/3x∞x4/3x *aØ*c *bØ*d (the omnitruncate of a quadrilateral domain).
Related tilings[edit | edit source]
The small squarisquariapeirogonal tiling is the colonel of a three-member regiment that also includes the great squarisquariapeirogonal tiling and the squarisquare tiling.
External links[edit | edit source]
- Klitzing, Richard. "sossa".
- McNeill, Jim. "Star Tesselations Type 2".